在绿色供应链基础上提出了一种基于熵权法与改进的TOPSIS法相结合的方法选择绿色供应商。首先构建绿色供应商的评价指标体系,然后采用熵权法得到各指标的权重。最后通过算例分别采用传统的TOPSIS方法和改进的TOPSIS方法选择供应商,并对2种方法及所得结果进行比较。结果表明,用改进的TOPSIS方法选择供应商是可行的、合理的,且更加科学。

On the basis of green supply chain, the combing method of entropy weight method and improved TOPSIS method to choose green supplier is put forward. First builds green supplier evaluation index system, then adopts the entropy weight method to get the weight of each index, finally through an example, uses the traditional TOPSIS method and the improved TOPSIS method to choose the supplier respectively and compares the two methods. Results show that the improved TOPSIS method to choose the supplier is reasonable and feasible, and more scientific.

运用传统的TOPSIS方法进行不确定型决策时存在一定的困难，而Vague软集是一种处理不确定信息的重要工具。为此，给出了一种加权的Vague软集间相似度计算方法并加以证明，在对传统的TOPSIS方法进行修正的基础上，将Vague软集理论应用于TOPSIS方法中，将修正后的TOPSIS方法应用于仓储中心选址问题中，结果表明， Vague软集能极大地提高TOPSIS方法在不确定型决策领域中的应用价值。

There exist some difficulties if the traditional TOPSIS(Technique for Order Preference by Similarity to Ideal Solution)is used for uncertain decision-making problem, and the Vague soft set is an important tool of processing uncer-tain information. For this reason, a weighted resemblance degree of the Vague soft set is defined and proved in the paper, then the paper modifies the traditional TOPSIS by applying the Vague soft set theory. The modified TOPSIS method is used for the decision of warehousing center location problem , and the data of the results indicate that the Vague soft set theory can greatly improve the application value of the TOPSIS method in uncertain decision-making problem.

目的 运用主成分分析法结合加权TOPSIS法对医院运行管理质量做出客观准确评价,探讨这种综合评价方法应用在医院运行管理质量中的科学性和可行性,为医院管理部门制订决策提供依据.方法 选取某肿瘤医院2008至2012年运行基本监测指标中有代表性的15项统计指标,分别运用TOPSIS法和主成分分析法结合加权TOPSIS法对指标进行综合评价和分析.结果 主成分分析法结合加权TOPSIS法的评价结果与医院实际发展情况相符,医院运行管理质量呈逐年上升的趋势,即年份越近,排名越佳.结论 主成分分析法结合加权TOPSIS法灵活实用、科学可靠,适宜在医院运行管理质量评价中推广应用.

Objective Using principal components analysis and weighted TOPSIS method to make objective and accurate evaluation of hospital operation management quality.This aims at proving whether such methods are scientific and feasible for comprehensive evaluation for the quality of hospital operation management and providing the basis for hospital decision making.Methods 15 typical Hospital Performance Indicators were chosen from a cancer hospital during 2008-2012,which were subject to TOPSIS method and principal components analysis,weighted TOPSIS method for comprehensive evaluation.Results The results with principal components analysis and weighted TOPSIS method conform to the actual hospital conditions and prove the rising quality of operation management of the hospital.That is,the closer the date,the higher the ranking.Conclusion Principal components analysis and weighted TOPSIS method are proven flexible,practical,scientific and reliable and suitable for popularization and application in t

针对煤炭分类是一个多属性、多目标的数据处理问题,提出一种逼近理想点（TOPSIS）的煤炭分类模式决策方法。利用投影寻踪（PP）计算各指标的权重,有效地克服了指标权重设置上的主观性和随机性,使决策结果更符合实际。实例分析表明用基于投影寻踪赋权的TOPSIS模型进行煤炭种类识别是可行的,有效的。

Coal classification is a multi -attribute, multi -objective data processing problem , we propose a TOPSIS ( TOPSIS) coal classification mode decision method .Using projection pursuit ( PP) calculate the index weight , effectively overcome the subjectivity and randomness index weight set on the decision -making results more realistic .Example analysis shows that using TOPSIS model based on projection pursuit empowerment of coal species identification is feasible and effective .

提出一种改进的逼近理想解排序(TOPSIS)方法，即直觉梯形模糊TOPSIS多属性群决策方法。首先，应用直觉梯形模糊数形式表示方案属性偏好和属性权重信息且专家权重完全未知；然后，利用直觉梯形模糊数间距离测度和期望值及直觉梯形模糊加权平均算子来确定决策者权重信息和属性权重信息；进而给出直觉梯形模糊环境下方案优选的算法；最后，通过算例进一步说明了该直觉梯形模糊TOPSIS方法的有效性。

An extension of TOPSIS, a novel trapezoidal intuitionistic fuzzy TOPSIS method for group decision making is investigated. The preference values for an alternative on criteria and the weight values of criteria are given by experts represented with trapezoidal intuitionistic fuzzy numbers and weights of decision makers are unknown. Distance measures, expected values and weighted averaging operator for trapezoidal intuitionistic fuzzy numbers are used to induce the weight values of criteria and decision makers. Then an algorithm is developed for ranking alternatives under the trapezoidal intuitionistic fuzzy environment. Finally, the result of numerical example further illustrates the effectiveness of the proposed extended TOPSIS method.